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Finding the Fourth Proportional to 11,497, 15,865.88 and 6,529

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Solution

The fourth proportional to 11,497, 15,865.88 and 6,529 is: 9,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497 : 15,865.88 = 6,529 : x
  2. Step 2: Convert to fraction form
    11,497/15,865.88 = 6,529/x
  3. Step 3: Cross multiply
    11,497x = 15,865.88 × 6,529
  4. Step 4: Simplify right side
    11,497x = 103,588,330.52
  5. Step 5: Solve for x
    x = 103,588,330.52/11,497
  6. Step 6: Final answer
    x = 9,010.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.